In a small container, mix all the marinade ingredients together and whisks well.
Cut the chicken breasts in cubes.
Place the chicken cubes in the marinade container and stir until the meat is all covered.
Refrigerate overnight
Cut the peppers, onions, and cheese.
Soak wood skewers in cold water for at least 15 minutes.
Assemble skewers alternating with onions, peppers, chicken, and cheese.
Fill the pellet hopers with Cherry Rum Cuisinart's Pellets and preheat the grill to 350°F.
Place the skewers directly on the grill grates and grill for about 10 minutes per side, or until the chicken is cooked. Internal temperature should be at a minimum of 160 °F
Brush with more marinade while cooking and sprinkle some sesame seeds.